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Feedback Control of a Nonlinear Dual–Oscillator Heartbeat Model
We describe a feedback control method for stabilizing some pathological behaviors of a nonlinear heartbeat model, with and without additive random...
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Global Control of Complex Power Systems
This chapter presents an overview of recent results on an approach to total control of power systems. It is upwards compatible from any conventional...
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Rational Positive Systems for Reaction Networks
The purpose of the lecture associated with this paper is to present problems, concepts, and theorems of control and system theory for a subclass of...
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Guaranteed Parameter Estimation for Cooperative Models
The parameters of cooperative models are estimated in a boundederror context, i.e., all uncertain quantities are assumed to be bounded, with known...
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Stability of Linear Systems and Positive Semigroups of Symmetric Matrices
The role of Lyapunov operators in stability theory is well-known. In this paper we present an interesting characterization of Lyapunov operators. We...
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A Characterization of Reachable Positive Periodic Descriptor Systems
Periodic descriptor system with nonnegative restrictions and its associated invariant cyclically augmented system (ICAS) are analyzed. The weakly...
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On the Positive Reachability of 2D Positive Systems
Local reachability of two-dimensional (2D) positive systems, by means of positive scalar inputs, is addressed by means of a graph theoretic approach....
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The Character of an Idempotent-analytic Nonlinear Small Gain Theorem
In this paper a general nonlinear input-to-state stability small gain theory is described using idempotent analytic techniques. The theorem is proved...
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Positive Systems with Nondecreasing Controls. Existence and Well-posedness
In the paper we consider a linear system with nondecreasing controls and a convex cost functional. Basing it on classical methods and the theory of...
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Application of Bifurcation Analysis to Power Systems
Electric power systems are physically some of the largest and most complex nonlinear systems in the world. Bifurcations are rather mundane phenomena...
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1 Introduction
The class of block-oriented nonlinear models includes complex models which are composed of linear dynamic systems and nonlinear static elements....
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Evolution of the Internet Topology and Traffic Dynamics of Data Packets
In recent years, the Internet has become one of the most influential media in our daily life, going beyond in its role as the basic infrastructure in...
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A Homotopy Continuation Solution of the Covariance Extension Equation
Algebraic geometry plays an important role in the theory of linear systems for (at least) three reasons. First, the Laplace transform turns...
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Arithmetic Properties of Observable Time Dependent Systems
Here we consider questions of discrete observability for linear systems of ordinary differential equations, extending work by Martin and Smith in...
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Endomorphisms of Hopf Algebras and a Little Bit of Control
Firstly this paper summarizes some of the the relations between control theory and coalgebra and Hopf algebra theory, particularly the fact that the...
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From Empirical Data to Multi-Modal Control Procedures
In this paper we study the problem of generating control programs, i.e. strings of symbolic descriptions of control-interrupt pairs (or modes) from...
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1. Preliminaries
In the sequel, C n is an n-dimensional complex Euclidean space and...
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Existence of Steady States. Positive and Nontrivial Steady States
Let us consider in C n the nonlinear equation...
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Coupled Map Lattices: at the Age of Maturity
Coupled Map Lattices (CML) were simultaneously and independently introduced by K. Kaneko, R. Kapral and S. Kuznetsov in 1983–84 [1, 2, 3, 4, 5, 6]....
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An Efficient QR Algorithm for a Hessenberg Submatrix of a Unitary Matrix
We describe an efficient procedure for implementing the Hessenberg QR algorithm on a class of matrices that we refer to as subunitary matrices. This...